1023871968 has 384 divisors, whose sum is σ = 3633315840. Its totient is φ = 274337280.

The previous prime is 1023871913. The next prime is 1023871973. The reversal of 1023871968 is 8691783201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8061921 + ... + 8062047.

It is an arithmetic number, because the mean of its divisors is an integer number (9461760).

Almost surely, 2^1023871968 is an apocalyptic number.

1023871968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023871968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816657920).

1023871968 is an abundant number, since it is smaller than the sum of its proper divisors (2609443872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1023871968 is a wasteful number, since it uses less digits than its factorization.

1023871968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1023871968 is about 31997.9994374648. Note that the first 3 decimals coincide. The cubic root of 1023871968 is about 1007.8948302973.

The spelling of 1023871968 in words is "one billion, twenty-three million, eight hundred seventy-one thousand, nine hundred sixty-eight".